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To solve the problem of the enormous expenses of this resource discovery in the field of grid, on the basis of hierarchical structure, this paper puts forward a strategy for grid resources discovery and admittance based on comprehensive index method. The basis of this strategy is a kind of grid model based on hierarchical structure The strategy synthetically considers two factors: execution cost and execution time of grid jobs, and conducts multiattribute comprehensive assessment on state of the resources that declare actively to join the gird. On the premise of conducting resources discovery smoothly, this strategy can establish corresponding sub-grid aimed at reducing the expenses of the grid jobs. The results show that the proposed strategy can optimize the computing expenses and capability. Eventually simulation environment is established so that the feasibility and validity can be validated.